D 5. Evaluate S ( 1 + sinx)² cosx dx 6. find the area of the region bounded above by y=x+6 bounded below by y=x², and bounded on the sides by the lines x=0 and X-2 7. Find the volume of the solid generated when the graphs of the equations f(x) = 1 + x² and g(x)=x over the interval [0,2] is revolved about the x-axis.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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PART 4
1
YYYUTY
17. find the equation of the line through point (-1,2,3) and
perpendicular to the line for which cos α = ²/3, cox B= - 1²/
a
cos y = ²/
2
3
18. Find the equation of the plane through the point (-1,2,4) and
parallel to the plane 2x-3y-52+6=0
2 ( x + 1) + (− 3) ( y − 2) + (~^ s) ( ² − 4 ) = 0
1x - 31 -57 +34=0
Transcribed Image Text:PART 4 1 YYYUTY 17. find the equation of the line through point (-1,2,3) and perpendicular to the line for which cos α = ²/3, cox B= - 1²/ a cos y = ²/ 2 3 18. Find the equation of the plane through the point (-1,2,4) and parallel to the plane 2x-3y-52+6=0 2 ( x + 1) + (− 3) ( y − 2) + (~^ s) ( ² − 4 ) = 0 1x - 31 -57 +34=0
19
:
TYTUT
ㅂ
X
5. Evaluate √ ( 1+ sinx) cosx dx
6. find the area of the region bounded above by y=x+6 bounded
below by y=x², and bounded on the sides by the lines X=0 and
2
X=2
7. Find the volume of the solid generated when the graphs of the
equations f(x) = =+ = + x ² and g(x)=x over the interval [0,2]
is revolved about the x-axis.
N
14
Transcribed Image Text:19 : TYTUT ㅂ X 5. Evaluate √ ( 1+ sinx) cosx dx 6. find the area of the region bounded above by y=x+6 bounded below by y=x², and bounded on the sides by the lines X=0 and 2 X=2 7. Find the volume of the solid generated when the graphs of the equations f(x) = =+ = + x ² and g(x)=x over the interval [0,2] is revolved about the x-axis. N 14
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